One Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality x - 41 > 22?

Back

Add 41 to both sides: x > 63.

Front

What is the solution to the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: h ≥ 9.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign must be flipped. For example, if -2x > 6, then x < -3 after dividing by -2.

Front

What is the solution to the inequality 12 ≥ 6w?

Back

Divide both sides by 6: w ≤ 2.

Front

What is the first step in solving an inequality?

Back

Identify the operation that needs to be undone (inverse operation) and apply it to both sides.